About: BPST instanton

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In theoretical physics, the BPST instanton is the instanton with winding number 1 found by Alexander Belavin, Alexander Polyakov, Albert Schwarz and . It is a classical solution to the equations of motion of SU(2) Yang–Mills theory in Euclidean space-time (i.e. after Wick rotation), meaning it describes a transition between two different topological vacua of the theory. It was originally hoped to open the path to solving the problem of confinement, especially since Polyakov had proven in 1987 that instantons are the cause of confinement in three-dimensional compact-QED. This hope was not realized, however.

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rdfs:label	BPST instanton (en) BPST瞬子 (zh)
rdfs:comment	In theoretical physics, the BPST instanton is the instanton with winding number 1 found by Alexander Belavin, Alexander Polyakov, Albert Schwarz and . It is a classical solution to the equations of motion of SU(2) Yang–Mills theory in Euclidean space-time (i.e. after Wick rotation), meaning it describes a transition between two different topological vacua of the theory. It was originally hoped to open the path to solving the problem of confinement, especially since Polyakov had proven in 1987 that instantons are the cause of confinement in three-dimensional compact-QED. This hope was not realized, however. (en) BPST瞬子是一种卷绕数为1的瞬子，由、亚历山大·波利亚科夫、、发现。它是基于SU(2)群的杨-米尔斯理论在欧几里得空间-时间（例如经过了威克转动之后）的经典解法。这表示它描述了两种真空之间的转换。人们原本期望它能为解决界限问题开辟道路，尤其是波利亚科夫1987年证明瞬子是三维紧凑型QED的限制的原因之后。不过，这种期望没能实现。 (zh)
foaf:depiction
dcterms:subject	Gauge theories Quantum chromodynamics
Wikipage page ID	5005954 (xsd:integer)
Wikipage revision ID	1099965135 (xsd:integer)
Link from a Wikipage to another Wikipage	QCD vacuum Meron (physics) Wu–Yang monopole Homothetic transformation Path integral formulation Infrared divergence Instanton Instanton fluid Topological invariant 't Hooft symbol Gauge theories Quantum chromodynamics Yang–Mills theory Alexander Belavin Gerard 't Hooft Caloron Color confinement Compactification (mathematics) Weak interaction Wick rotation Lattice QCD Albert Schwarz Alexander Markovich Polyakov Baryon number Taylor series Lagrangian density Higgs mechanism Homotopy group Translation (geometry) Winding number Spontaneous symmetry breaking Field strength Rotation Special conformal transformation Theta vacuum Pauli matrix Pontryagin index dbr:Yu._S._Tyupkin
sameAs	BPST instanton BPST instanton BPST instanton BPST instanton BPST instanton
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thumbnail	wiki-commons:Special:FilePath/-y-(x%5E2+y%5E2+1)_plot;_BPST_instanton.png?width=300
footer	The dx1⊗σ3 coefficient of BPST instanton on the '-slice of R4 where σ3 is the third Pauli matrix . The dx2⊗σ3 coefficient . These coefficients A13 and A23 determine the restriction of the BPST instanton A with g=2,ρ=1,z=0 to this slice. The corresponding field strength centered around z=0 . A visual representation of the field strength of a BPST instanton with center z on the compactification S4 of R'''4 . (en)
image	-y- plot; BPST instanton.png (en) BPST on sphere.png (en) Curvature of BPST Instanton.png (en) X- plot; BPST instanton.png (en)
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has abstract	In theoretical physics, the BPST instanton is the instanton with winding number 1 found by Alexander Belavin, Alexander Polyakov, Albert Schwarz and . It is a classical solution to the equations of motion of SU(2) Yang–Mills theory in Euclidean space-time (i.e. after Wick rotation), meaning it describes a transition between two different topological vacua of the theory. It was originally hoped to open the path to solving the problem of confinement, especially since Polyakov had proven in 1987 that instantons are the cause of confinement in three-dimensional compact-QED. This hope was not realized, however. (en) BPST瞬子是一种卷绕数为1的瞬子，由、亚历山大·波利亚科夫、、发现。它是基于SU(2)群的杨-米尔斯理论在欧几里得空间-时间（例如经过了威克转动之后）的经典解法。这表示它描述了两种真空之间的转换。人们原本期望它能为解决界限问题开辟道路，尤其是波利亚科夫1987年证明瞬子是三维紧凑型QED的限制的原因之后。不过，这种期望没能实现。 (zh)
gold:hypernym	Instanton
prov:wasDerivedFrom	wikipedia-en:BPST_instanton?oldid=1099965135&ns=0
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foaf:isPrimaryTopicOf	wikipedia-en:BPST_instanton
is Link from a Wikipage to another Wikipage of	QCD vacuum Meron (physics) Index of physics articles (B) Instanton 't Hooft symbol Gauge theory (mathematics) Yang–Mills theory Alexander Belavin Caloron Leptogenesis Albert Schwarz Alexander Markovich Polyakov List of Russian physicists List of Russian scientists Yang–Mills equations Sphaleron List of Russian people

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